Symmetry breaking and Goldstone bosons in holographic strongly-coupled field theories
by
Andrea Marzolla
→
Europe/Rome
281
281
Description
Spontaneous symmetry breaking is a well known and largely applied mechanism in theoretical physics. The physics of symmetry breaking is encoded by some precise mathematical statements (Goldstone theorem, Ward identities,...), which, being based on symmetry considerations, are non-perturbative (i.e. they hold at strong coupling). Ward identities for symmetry breaking can be retrieved in holographic setups by a pure-boundary analysis based on holographic renormalization, so allowing to test the holographic correspondence in a variety of cases.
I will review the physics of breaking of a global symmetry in quantum field theory, considering also the case of lack of Lorentz invariance. I will present the technique of holographic renormalization, and show how it allows to derive the Ward identities in several simple bottom-up holographic setups, both relativistic and non-relativistic.
Based on [arXiv:1712.09251] (and references within).
